A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients

DOI10.1016/S0096-3003(01)00064-9zbMath1027.65152MaRDI QIDQ1855720

Jinru Chen, Jun-Zhi Cui

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

elliptic problemsoptimal error estimatefinite elementarymultilevel additive Schwarz preconditioning methodmultiscale basesmall periodic coefficients

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

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• Multilevel Schwarz methods
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Homogenization and porous media
• Iterative Methods by Space Decomposition and Subspace Correction
• Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
• Convergence of a Nonconforming Multiscale Finite Element Method

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